Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
408 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #19099097 | C2 | semidirect |
| 2. #19098969 | C2 | semidirect |
| 3. #19098950 | C2 | semidirect |
| 4. #19098927 | C2 | semidirect |
| 5. #19098925 | C2 | semidirect |
| 6. #19098814 | C2 | semidirect |
| 7. #19098807 | C2 | semidirect |
| 8. C4×#11929612 | C2 | semidirect |
| 9. C4×#11929609 | C2 | semidirect |
| 10. C4×#11929608 | C2 | semidirect |
| 11. #532×C79 | C2 | semidirect |
| 110. C79⋊C8 | #41 | semidirect |
| 138. C79 | #3171 | semidirect |
| 139. #532 | D79 | semidirect |